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Sagot :

Answer:

28.3 square inches

Step-by-step explanation:

Use the area of a circle to determine its area:

[tex]A=\pi r^2\\\\A=\pi(3)^2\\\\A=9\pi\\\\A=9(3.14)\\\\A=28.26\\\\A\approx28.3[/tex]

Therefore, the area of a circle with a radius of 3 inches is 28.3 square inches

Answer:

Area of circle = [tex]\boxed{\sf{28.3 \: {in}^{2}}}[/tex].

Step-by-step explanation:

Here's the required formula to find the area of circle :

[tex]\twoheadrightarrow{\pmb{\sf{A_{(Circle)} = \pi{r}^{2}}}}[/tex]

  • A = Area
  • π = 3.14
  • r = radius

Substituting all the given values in the formula to find the area of circle :

[tex]{\twoheadrightarrow{\sf{Area_{(Circle)} = \pi{r}^{2}}}}[/tex]

[tex]{\twoheadrightarrow{\sf{Area_{(Circle)} = 3.14{(3)}^{2}}}}[/tex]

[tex]{\twoheadrightarrow{\sf{Area_{(Circle)} = 3.14{(3 \times 3)}}}}[/tex]

[tex]{\twoheadrightarrow{\sf{Area_{(Circle)} = 3.14{(9)}}}}[/tex]

[tex]{\twoheadrightarrow{\sf{Area_{(Circle)} = 3.14 \times 9}}}[/tex]

[tex]{\twoheadrightarrow{\sf{Area_{(Circle)} = 28.26}}}[/tex]

[tex]{\twoheadrightarrow{\sf{Area_{(Circle)} \approx 28.3}}}[/tex]

[tex]\star{\boxed{\sf{\red{Area_{(Circle)} \approx 28.3 \: {in}^{2}}}}}[/tex]

Hence, the area of circle is 28.3 in².

[tex]\rule{300}{2.5}[/tex]

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